Mobius

Mobius

This Möbius band is twisted three times, each time by 180 degrees, before its short sides are attached to each other. Topologically, it is the same as the usual Möbius band where the band is twisted only once before attaching the short sides to each other; it is just embedded in 3-space in a different way. The edge of a Möbius band is just one long circle. If you follow the edge of this Möbius band, you will go through the colors of the rainbow, from red to purple, and then transition to red through red-purple and begin the cycle again. But the boundary circle wraps twice around the band, so in every segment of the band you can see a color opposite its complementary color.- Ayelet Lindenstrauss

Möbius
Figure 1.